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Finding the Fourth Proportional to 223,743.20, 335,269.20 and 194,021.60

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Solution

The fourth proportional to 223,743.20, 335,269.20 and 194,021.60 is: 290,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,743.20 : 335,269.20 = 194,021.60 : x
  2. Step 2: Convert to fraction form
    223,743.20/335,269.20 = 194,021.60/x
  3. Step 3: Cross multiply
    223,743.20x = 335,269.20 × 194,021.60
  4. Step 4: Simplify right side
    223,743.20x = 65,049,466,614.72
  5. Step 5: Solve for x
    x = 65,049,466,614.72/223,743.20
  6. Step 6: Final answer
    x = 290,732.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.